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Simplifying 3y + 2x + -1 = 4x + -2(1 + -1y) Reorder the terms: -1 + 2x + 3y = 4x + -2(1 + -1y) -1 + 2x + 3y = 4x + (1 * -2 + -1y * -2) -1 + 2x + 3y = 4x + (-2 + 2y) Reorder the terms: -1 + 2x + 3y = -2 + 4x + 2y Solving -1 + 2x + 3y = -2 + 4x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -1 + 2x + -4x + 3y = -2 + 4x + -4x + 2y Combine like terms: 2x + -4x = -2x -1 + -2x + 3y = -2 + 4x + -4x + 2y Combine like terms: 4x + -4x = 0 -1 + -2x + 3y = -2 + 0 + 2y -1 + -2x + 3y = -2 + 2y Add '1' to each side of the equation. -1 + -2x + 1 + 3y = -2 + 1 + 2y Reorder the terms: -1 + 1 + -2x + 3y = -2 + 1 + 2y Combine like terms: -1 + 1 = 0 0 + -2x + 3y = -2 + 1 + 2y -2x + 3y = -2 + 1 + 2y Combine like terms: -2 + 1 = -1 -2x + 3y = -1 + 2y Add '-3y' to each side of the equation. -2x + 3y + -3y = -1 + 2y + -3y Combine like terms: 3y + -3y = 0 -2x + 0 = -1 + 2y + -3y -2x = -1 + 2y + -3y Combine like terms: 2y + -3y = -1y -2x = -1 + -1y Divide each side by '-2'. x = 0.5 + 0.5y Simplifying x = 0.5 + 0.5y
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